Updated the GridScheduleGenerator to support rebuilding future schedules while correctly managing aired positions. Introduced a new AiredPosition record to track the last aired state of slots, ensuring that the cursor rewinds to the correct position during rebuilds. Refactored the BuildInputAsync method to accept aired positions, and modified the LoadAiredPositionsAsync method for accurate retrieval of past entries. Enhanced the SchedulePlanner to utilize shared cursor states between main and background loops, preventing duplicate series plays. Updated documentation to reflect these changes and added integration tests to verify the correct behavior of the new functionality.